Characteristic invariants and Darboux's method
نویسندگان
چکیده
منابع مشابه
Modular Invariance Characteristic Numbers and Η Invariants
We extend the “miraculous cancellation” formulas of Alvarez– Gaumé, Witten and Kefeng Liu to a twisted version where an extra complex line bundle is involved. We apply our result to discuss intrinsic relations between the higher dimensional Rokhlin type congruences due to Ochanine, Finashin and Zhang. In particular, an analytic proof of the Finashin congruence is given.
متن کاملCasimir Invariants and Characteristic Identities for Gl(∞)
A full set of (higher order) Casimir invariants for the Lie algebra gl(∞) is constructed and shown to be well defined in the category O F S generated by the highest weight (unitarizable) irreducible representations with only a finite number of non-zero weight components. Moreover the eigenvalues of these Casimir invariants are determined explicitly in terms of the highest weight. Characteristic...
متن کاملOn orthogonal invariants in characteristic 2
Working over an algebraically closed base field k of characteristic 2, the ring of invariants R is studied, where G is the orthogonal group O(n) or the special orthogonal group SO(n), acting naturally on the coordinate ring R of the m-fold direct sum k⊕ · · · ⊕ k of the standard vector representation. It is proved for O(2), O(3) = SO(3), SO(4), and O(4), that there exists an m-linear invariant ...
متن کامل0 Hall Invariants , Homology of Subgroups , and Characteristic
Given a nitely-generated group G, and a nite group ?, Philip Hall deened ? (G) to be the number of factor groups of G that are isomorphic to ?. We show how to compute the Hall invariants by cohomological and combinato-rial methods, when G is nitely-presented, and ? belongs to a certain class of metabelian groups. Key to this approach is the stratiication of the character variety, Hom(G; K), by ...
متن کاملHall Invariants, Homology of Subgroups, and Characteristic Varieties
Given a finitely-generated group G, and a finite group Γ, Philip Hall defined δΓ(G) to be the number of factor groups of G that are isomorphic to Γ. We show how to compute the Hall invariants by cohomological and combinatorial methods, when G is finitely-presented, and Γ belongs to a certain class of metabelian groups. Key to this approach is the stratification of the character variety, Hom(G,K...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2005
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/38/14/005